Step-by-step explanation:
-12 = 5x
5x = -12
x = -12/5
x = -2.4
Answer:
![\fbox{\begin{minipage}{16em}Option D: y = (4/7)x + 8 is correct\end{minipage}}](https://tex.z-dn.net/?f=%5Cfbox%7B%5Cbegin%7Bminipage%7D%7B16em%7DOption%20D%3A%20y%20%3D%20%284%2F7%29x%20%2B%208%20is%20correct%5Cend%7Bminipage%7D%7D)
Step-by-step explanation:
(1) A typical form of equation of a line is:
![y = Mx + b](https://tex.z-dn.net/?f=y%20%3D%20Mx%20%2B%20b)
with,
is slope and
is y-intercept.
(2) Another straight line has equation in form of:
![y = Nx + c](https://tex.z-dn.net/?f=y%20%3D%20Nx%20%2B%20c)
with
is slope and
is y-intercept
(3) If these two lines are perpendicular, according to the property of two perpendicular lines on the two-dimensional plane, we have:
x
= -1
(4) Transform the given equation of original line into typical form:
![7x + 4y = -24\\](https://tex.z-dn.net/?f=7x%20%2B%204y%20%3D%20-24%5C%5C)
<=> ![4y = -7x - 24](https://tex.z-dn.net/?f=4y%20%3D%20-7x%20-%2024)
<=> ![y = (\frac{-7}{4})x - \frac{24}{4}](https://tex.z-dn.net/?f=y%20%3D%20%28%5Cfrac%7B-7%7D%7B4%7D%29x%20%20-%20%5Cfrac%7B24%7D%7B4%7D)
<=> ![y = (\frac{-7}{4})x - 6](https://tex.z-dn.net/?f=y%20%3D%20%28%5Cfrac%7B-7%7D%7B4%7D%29x%20-%206)
=> ![M = \frac{-7}{4}](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B-7%7D%7B4%7D)
=> ![N = \frac{-1}{M} = \frac{-1}{\frac{-7}{4} } = \frac{-4}{-7} = \frac{4}{7}](https://tex.z-dn.net/?f=N%20%3D%20%5Cfrac%7B-1%7D%7BM%7D%20%20%3D%20%5Cfrac%7B-1%7D%7B%5Cfrac%7B-7%7D%7B4%7D%20%7D%20%3D%20%5Cfrac%7B-4%7D%7B-7%7D%20%3D%20%5Cfrac%7B4%7D%7B7%7D)
=> Option D:
is correct (Slope =
)
Hope this helps!
:)
Answer:
i think its $116
Step-by-step explanation:
if you have four groups of twenty-nine dollars that would be
4x$29
which is $116
That’s a simple proportion.
![\frac{32}{20} = \frac{x}{1.2}. \newline 20x = 32 \cdot 1.2. \newline x = 1.92.](https://tex.z-dn.net/?f=%5Cfrac%7B32%7D%7B20%7D%20%3D%20%5Cfrac%7Bx%7D%7B1.2%7D.%20%5Cnewline%2020x%20%3D%2032%20%5Ccdot%201.2.%20%5Cnewline%20x%20%3D%201.92.)
Where
![x](https://tex.z-dn.net/?f=x)
is the unknown height of the person.